Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950bk |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.1230387398537E+24 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207956612,1153194831696] |
[a1,a2,a3,a4,a6] |
Generators |
[-15832:698604:1] |
Generators of the group modulo torsion |
j |
4491338515653872443653/5071408728702976 |
j-invariant |
L |
4.0601856217776 |
L(r)(E,1)/r! |
Ω |
0.086648482615607 |
Real period |
R |
5.8572659322079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999491707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950df2 10450bd2 |
Quadratic twists by: 5 -11 |